Home / 2,740.94-3,782.50-1,562.70

Finding the Fourth Proportional to 2,740.94, 3,782.50 and 1,562.70

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Solution

The fourth proportional to 2,740.94, 3,782.50 and 1,562.70 is: 2,156.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.94 : 3,782.50 = 1,562.70 : x
  2. Step 2: Convert to fraction form
    2,740.94/3,782.50 = 1,562.70/x
  3. Step 3: Cross multiply
    2,740.94x = 3,782.50 × 1,562.70
  4. Step 4: Simplify right side
    2,740.94x = 5,910,912.75
  5. Step 5: Solve for x
    x = 5,910,912.75/2,740.94
  6. Step 6: Final answer
    x = 2,156.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.